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1. ~Q->~P
2. P->(Q-> R)
3. Q-> (R-> S)
4. P-> S

2007-11-10 16:44:35 · 1 answers · asked by chimostrufia_07 1 in Education & Reference Homework Help

1 answers

assuming line 4 is the conclusion:

1. ~Q → ~P
2. P → (Q → R)
3. Q → (R → S)
4. P ...................assumption for CP
5. Q → R .......... 2,4 mp
6. Q ................. 1,4 modus tolens
7. R .................. 5,6 mp
8. R → S .......... 3,6 mp
9. S .................. 8,7 mp
10. P → S ........ 4-9 conditional proof

2007-11-13 10:39:19 · answer #1 · answered by Philo 7 · 0 0

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